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Finding the Third Proportional to 83,445.75 and 184,908.75

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Solution

The third proportional to 83,445.75 and 184,908.75 is: 409,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,445.75 : 184,908.75 = 184,908.75 : x
  2. Step 2: Convert to fraction form
    83,445.75/184,908.75 = 184,908.75/x
  3. Step 3: Cross multiply
    83,445.75x = 184,908.75 × 184,908.75
  4. Step 4: Simplify right side
    83,445.75x = 34,191,245,826.56
  5. Step 5: Solve for x
    x = 34,191,245,826.56/83,445.75
  6. Step 6: Final answer
    x = 409,742.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.